Question

Match the following equations with their correct solutions.

• A. 5
• B. 10
• C. 3
• D. 2

Answer 1

Solving $2x=x+5$, we get
$\Rightarrow 2x=x+5\Rightarrow 2x-x=5\Rightarrow x=5$

Solving $\frac{3x}{5}=x-4$, we have
$\Rightarrow 3x=5\times (x-4)\Rightarrow 3x=5x-20\Rightarrow 3x-5x=-20\Rightarrow -2x=-20\Rightarrow x=\frac{-20}{-2}\Rightarrow x=10$

Solving the equation, $7x-6=x+6$, we find
$\Rightarrow 7x-x=6+6\Rightarrow 6x=12\Rightarrow x=\frac{12}{6}\Rightarrow x=2$

Solving the equation, $8-4x=3x-13$, we come up with
$\Rightarrow -4x-3x=-8-13\Rightarrow -7x=-21\Rightarrow x=\frac{-21}{-7}\Rightarrow x=3$